Question

resolva as inequacoes abaixo

a) 2x+7⩾-1+2

b) 4x-10<20-2x

c) 2x-18>4x-38​

Answer 1

$\text{Resolva as inequações abaixo:}$

$a) \: 2x + 7 \geqslant - 1 + 2 \\ 2x + 7 \geqslant 1 \\ 2x \geqslant 1 - 7 \\ 2x \geqslant - 6 \\ x \geqslant - \frac{6}{2} \\ \boxed{ \bf{x \geqslant -3} }$

$b) \: 4x - 10 < 20 - 2x \\ 4x + 2x < 20 + 10 \\ 6x < 30 \\ x < \frac{30}{6} \\ \boxed{ \bf{x < 5} }$

$c) \: 2x - 18 > 4x - 38 \\ 2x - 4x > - 38 + 18 \\ - 2x > - 20 \: \color{red} { \cdot( - 1)} \\ 2x < 20 \\ x < \frac{20}{2} \\ \boxed{ \bf{x < 10} }$

Espero ter ajudado! :)